X^2 - 4x - 4y = 0 in standard form
1 answer:
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Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA = pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA = (24)(5) + 36
SA = 60 + 36 = 96 ft²
Answer:
- yes
- no
Step-by-step explanation:
When a number of similar calculations are required, a spreadsheet can reduce the tedium.
1. The price is a constant $1.88 per pound, so is proportional to the weight.
_____
2. The price is not proportional to the number of toppings.
__
The cost of the pizza is $8.99 plus $1.50 per topping. The base cost being non-zero ensures that the overall cost is not proportional to the number of toppings.
